=+Problem 2.9 A mass m is constrained to move on an ellipse (see Figure 2.18.b). The ellipse is described by:

x2 a2 + y2 b2 = 1 and is in a horizontal plane (no gravity is acting on the mass). The mass is connected to 2 springs (kx and ky). The springs can slide freely on the y (respectively x) axis. The natural length of the springs is null. Choosing ???? as the degree of freedom for the system (see Figure 2.18.b)

so that:

{

x = a cos ????

y = b sin ????

you are asked to analyze the system according to the following steps: